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Finding the Fourth Proportional to 193.96, 267.70 and 119.28

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Solution

The fourth proportional to 193.96, 267.70 and 119.28 is: 164.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.96 : 267.70 = 119.28 : x
  2. Step 2: Convert to fraction form
    193.96/267.70 = 119.28/x
  3. Step 3: Cross multiply
    193.96x = 267.70 × 119.28
  4. Step 4: Simplify right side
    193.96x = 31,931.26
  5. Step 5: Solve for x
    x = 31,931.26/193.96
  6. Step 6: Final answer
    x = 164.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.